Results 41 to 50 of about 73,971 (227)
Iterative roots of upper semicontinuous multifunctions [PDF]
Advances in Difference Equations, 2017 Abstract The square iterative roots for strictly monotonic and upper semicontinuous functions with one set-valued point were fully described in (Li et al. in Publ. Math. (Debr.) 75:203-220, 2009). As a continuation, we study both strictly monotonic and nonmonotonic multifunctions.
Pingping Zhang, Li-Guo Huang
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Attractors of multivalued semiflows generated by differential inclusions and their approximations
Abstract and Applied Analysis, 2000 We prove the existence of global compact attractors for differential inclusions and obtain some results concerning the continuity and upper semicontinuity of the attractors for approximating and perturbed inclusions.
Alexei V. Kapustian, José Valero
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Regularity of Optimal Solutions and the Optimal Cost for Hybrid Dynamical Systems via Reachability Analysis [PDF]
arXiv, 2021 For a general optimal control problem for dynamical systems with hybrid dynamics, we study the dependency of the optimal cost and of the value function on the initial conditions, parameters, and perturbations. We show that upper and lower semicontinuous dependence of solutions on initial conditions -- properties that are captured by outer and inner ...
arxiv
Asymptotic behavior for non-autonomous stochastic plate equation on unbounded domains
Open Mathematics, 2019 We study the asymptotic behavior of solutions to the non-autonomous stochastic plate equation driven by additive noise defined on unbounded domains.
Yao Xiaobin, Liu Xilan
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On topological sigma-ideals [PDF]
arXiv, 2023 The concept of $\mathcal S$-topological $\sigma$-ideal in measurable space $(X, \mathcal S)$ was introduced by Hejduk and using a theorem of Wagner on convergence of measurable functions characterized $\mathcal S$-topological $\sigma$-ideals. In this paper, we give a general construction of $\mathcal S$-topological $\sigma$-ideals from structures ...
arxiv
On some properties of the space of upper semicontinuous functions [PDF]
Acta Mathematica Hungarica, 2019 For a Tychonoff space $X$, we will denote by $USC_{p}(X)$ ($B_1(X)$) a set of all real-valued upper semicontinuous functions (a set of all Baire functions of class 1) defined on $X$ endowed with the pointwise convergence topology. In this paper we describe a class of Tychonoff spaces $X$ for which the space $USC_{p}(X)$ is sequentially separable ...
Alexander V. Osipov +2 more
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AIMS Mathematics, 2022 In this article, we investigate the Wong-Zakai approximations of a class of second order non-autonomous stochastic lattice systems with additive white noise.
Xintao Li
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Upper semicontinuous differential inclusions without convexity [PDF]
Proceedings of the American Mathematical Society, 1989 We prove existence of solutions to the Cauchy problem for the differential inclusion x ˙ ∈ A ( x ) \dot x \in A(x) , when A A is cyclically monotone and upper semi-continuous.
A. Bressan +2 more
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Communications on Pure and Applied Mathematics, EarlyView.Abstract Let (Mn,g)$(M^n,g)$ be a complete Riemannian manifold which is not isometric to Rn$\mathbb {R}^n$, has nonnegative Ricci curvature, Euclidean volume growth, and quadratic Riemann curvature decay. We prove that there exists a set G⊂(0,∞)$\mathcal {G}\subset (0,\infty)$ with density 1 at infinity such that for every V∈G$V\in \mathcal {G}$ there ...
Gioacchino Antonelli +2 more
wiley +1 more source
Convexity and upper semicontinuity of fuzzy sets
Computers & Mathematics with Applications, 2004 AbstractSince almost all practical problems are fuzzy and approximate, fuzzy decision making becomes one of the most important practical approaches. One off the important aspects for formulating and for solving fuzzy decision problems is the concept of convexity.
Lixing Jia, Yu-Ru Syau, E.S. Lee
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